package xyf.p10.dp;

/**
 * ClassName: P0072_EditDistance
 * Description:
 * Author: xyf
 * Date: 9/9/22 10:30 AM
 * Version: 1.0
 **/
public class P0072_EditDistance
{
    public int minDistance(String word1, String word2)
    {
        int length1 = word1.length() + 1;
        int length2 = word2.length() + 1;

        int[][] dp = new int[length1][length2];

        for (int i = 0; i < length2; i++)
        {
            dp[0][i] = i;
        }

        for (int i = 0; i < length1; i++)
        {
            dp[i][0] = i;
        }

        for (int i = 1; i < length1; i++)
        {
            for (int j = 1; j < length2; j++)
            {
                if (word1.charAt(i - 1) == word2.charAt(j - 1))
                {
                    dp[i][j] = Math.min(Math.min(dp[i - 1][j] + 1, dp[i][j - 1] + 1), dp[i - 1][j - 1]);
                }
                else
                {
                    dp[i][j] = Math.min(Math.min(dp[i - 1][j] + 1, dp[i][j - 1] + 1), dp[i - 1][j - 1] + 1);
                }
            }
        }
        return dp[length1 - 1][length2 - 1];
    }
}